The function f(x) = 245(4)^x represents the growth of a fruit fly population every year in the orange grove. Stacey wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Stacey's purposes?

Question

jdoe0001 · Answer

well.. there are 12 months in 1 year
so for any value, one twelth of that will be what every month averages
to $\bf f(x)=245(4)^x\impliedby yearly
\ \quad \
f(x)=\cfrac{245(4)^x}{12}\impliedby monthly$

anonymous · Answer

alright these are the answer choices 
f(x) = 45(4)^x

 f(x) = 45(4^12)^x/12

 f(x) = 2752(4)x

 f(x) = 245(4 ^1/2)^12x

anonymous · Answer

@jdoe0001 based on ur response i'd say it's either B or D

kropot72 · Answer

Please confirm that choice D should be written as:
$$\large 245(4^{\frac{1}{12}})^{12x}$$

anonymous · Answer

@kropot72 yes it's written exactly like that

kropot72 · Answer

Well, that is the correct choice.

condor34 · Answer

kropot could you help me when you are done

kropot72 · Answer

@Condor34 Sorry, maybe later. I must log out now.

anonymous · Answer

thank you!!! i was unsure because B & D seemed similar

kropot72 · Answer

You're welcome :)